Need this type of sine wave animation without the cuts as like it is a wire. How to make?
The curve you are trying to create can be described by the following parametric equation:

$$
\begin{bmatrix}
p\\
\alpha p \sin({\beta t + p})
\end{bmatrix}
$$

Where $\beta$ and $\alpha$ are arbitrary constants, $t$ is the time, and $p$ is the parameter. We can implement this in Animation Nodes as follows: